%\begin{frame}{Network coding}{Unequal Error Protection}
%\textit{all data is created equal...}
%\end{frame}

\begin{frame}{Network coding}{UEP - Expanding windows}
\textit{all data is created equal...}\\
\begin{itemize}
\item{Encoding (Rateless, Probabilistic)}
\item{Decoding (GE, submatrices)}
\item{free lunch?}
\end{itemize}
\begin{center}
\begin{align}
\left[
\begin{array}{c}	
\mathbf{p_{1}} \\
\mathbf{p_{2}} \\
\vdots \\
\mathbf{p_{m}}
\end{array}
\right]
=
\left[
\begin{array}{lllc}
$[$\cdots$]$ & & &  \\
$[$\cdots & \cdots$]$ & & \\
$[$\cdots & \cdots & \cdots $]$ & \\
$[$\cdots & \cdots & \cdots & \cdots $]$ \\
\end{array}
\right] \cdot
\left[
\begin{array}{c}	
\mathbf{x_{1}} \\
\mathbf{x_{2}} \\
\vdots \\
\mathbf{x_{g}}
\end{array}
\right] \notag
\end{align}
\end{center}
\end{frame}

\begin{frame}{Network coding}{UEP vs. EEP}
Simulation Example: 60 source packets,  $c_{ij}\in \mathbb{F}_{2^8}$

\begin{center}
\includegraphics[width=1.0\textwidth]{ewrlnc_log_example}
\end{center}

Easy?: $\Gamma_i$, number of layers, computing resources, network fitting... 

\end{frame}

